Universality of almost periodic orbits in certain composite functions

We consider composite functions in the elementary algebraic framework. Without any use of the Fourier transform, we find almost periodic orbits which suitably characterizes certain composite functions. In particular, we provide special composite functions that tend asymptotically to almost periodic orbits.

cs.LG cs.IT math.AP math.DS math.FA Neural Networks and Applications Neural Networks and Reservoir Computing

Paper

Similar papers

Square patterns in dynamical orbitsVefa Goksel, Giacomo Micheli2024 · arXiv (Cornell University) In Library

Periodic orbits of Linear and invariant flows on connected Lie groupsSimão N. Stelmastchuk2020 · arXiv (Cornell University) In Library

Unbounded solutions of periodic systemsPhilip Korman2023 · arXiv (Cornell University) In Library

On the algebra of Koopman eigenfunctions and on some of their infinitiesZ. Monfared, Saksham Malhotra, Sekiya Hajime et al.2026 · 1 citation In Library

Permutation binary neural networks: Analysis of periodic orbits and its applicationsHotaka Udagawa, T. Okano, Toshimichi Saito2022 · Discrete and Continuous Dynamical Systems - B In Library

Control of locomotion systems and dynamics in relative periodic orbitsFrancesco Fassò, Simone Passarella, Marta Zoppello2020 · HAL (Le Centre pour la Communication Scientifique Directe) In Library

Classifying multiply connected wandering domainsGustavo Rodrigues Ferreira, Lasse Rempe2024 · arXiv (Cornell University) In Library

Periodic solutions of differential equations with periodic constraintsMarco Spadini2024 · Mathematical Methods in the Applied Sciences In Library

Orbit recovery for band-limited functionsDan Edidin, Matthew Satriano2023 · arXiv (Cornell University) In Library

A variety of globally stable periodic orbits in permutation binary neural networksMikito Onuki, Kento Saka, Toshimichi Saito2023 · Discrete and Continuous Dynamical Systems - B · 4 citations In Library

Source of record

arXiv

44B

Welcome.

This panel sticks with you. Pick anything below and it opens right beside it, so you can dig through 60,000-plus records without ever losing your spot here.

Travel 44B

LibraryPapers, policy, standards, statute LabsEvery organization building AI ModelsIntelligence, price, and speed BenchmarksThe evaluation catalog IncidentsAI failures and harms SearchOne field across everything DashboardThe state of AI accountability in NY 44B RegistryThe Art. 44-B compliance portal